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6808536 = 233471979
BaseRepresentation
bin11001111110001111011000
3110210220120000
4121332033120
53220333121
6401533000
7111604650
oct31761730
913726500
106808536
113930399
122344160
131545027
14c93360
158e7526
hex67e3d8

6808536 has 160 divisors (see below), whose sum is σ = 23232000. Its totient is φ = 1819584.

The previous prime is 6808531. The next prime is 6808537. The reversal of 6808536 is 6358086.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6808536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6808531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86145 + ... + 86223.

It is an arithmetic number, because the mean of its divisors is an integer number (145200).

Almost surely, 26808536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6808536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11616000).

6808536 is an abundant number, since it is smaller than the sum of its proper divisors (16423464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6808536 is a wasteful number, since it uses less digits than its factorization.

6808536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6808536 is about 2609.3171520534. The cubic root of 6808536 is about 189.5328876396.

It can be divided in two parts, 68085 and 36, that added together give a square (68121 = 2612).

The spelling of 6808536 in words is "six million, eight hundred eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 79 81 84 108 114 126 133 152 158 162 168 171 189 216 228 237 252 266 316 324 342 378 399 456 474 504 513 532 553 567 632 648 684 711 756 798 948 1026 1064 1106 1134 1197 1368 1422 1501 1512 1539 1596 1659 1896 2052 2133 2212 2268 2394 2844 3002 3078 3192 3318 3591 4104 4266 4424 4503 4536 4788 4977 5688 6004 6156 6399 6636 7182 8532 9006 9576 9954 10507 10773 12008 12312 12798 13272 13509 14364 14931 17064 18012 19908 21014 21546 25596 27018 28728 29862 31521 36024 39816 40527 42028 43092 44793 51192 54036 59724 63042 81054 84056 86184 89586 94563 108072 119448 121581 126084 162108 179172 189126 243162 252168 283689 324216 358344 378252 486324 567378 756504 851067 972648 1134756 1702134 2269512 3404268 6808536